Lest {spatstat} | R Documentation |
Calculates an estimate of Ripley's L-function for a spatial point pattern.
Lest(...)
... |
Arguments passed to Kest
to estimate the K-function.
|
This command computes an estimate of the L-function for a spatial point pattern. The L-function is a transformation of Ripley's K-function,
L(r) = sqrt(K(r)/pi)
where K(r) is the K-function.
See Kest
for information
about Ripley's K-function.
The command Lest
first calls
Kest
to compute the estimate of the K-function,
and then applies the square root transformation.
For a completely random (uniform Poisson) point pattern, the theoretical value of the L-function is L(r) = r. The square root also has the effect of stabilising the variance of the estimator, so that L is more appropriate for use in simulation envelopes and hypothesis tests.
An object of class "fv"
, see fv.object
,
which can be plotted directly using plot.fv
.
Essentially a data frame containing columns
r |
the vector of values of the argument r at which the function L has been estimated |
theo |
the theoretical value L(r) = r for a stationary Poisson process |
together with columns named
"border"
, "bord.modif"
,
"iso"
and/or "trans"
,
according to the selected edge corrections. These columns contain
estimates of the function L(r) obtained by the edge corrections
named.
Adrian Baddeley adrian@maths.uwa.edu.au http://www.maths.uwa.edu.au/~adrian/ and Rolf Turner r.turner@auckland.ac.nz
data(cells) L <- Lest(cells) plot(L, main="L function for cells")